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Oct 5, 2013
10/13

by
J ̈urgen Bierbrauer

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Contents: Finite Fields 2 Pro jective geometries 3 The link to codes 4 An application: resilient functions 5 Arcs in pro jective planes 6 Symmetric bilinear forms 7 Symplectic bilinear forms 8 Quadratic forms in characteristic 2 9 Unitary bilinear forms 10 Quadrics in P G(2, q) and in P G(3, q) 11 Designs, pro jective planes and GQ 12 The small Witt designs 13 Symmetry groups 14 Generators and Spreads 15 Reed-Muller codes and Kerdock codes 16 Pro jective planes 17 Generalized polygons 18...

Topics: Finite Geometry, "

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379

Oct 4, 2013
10/13

by
Simeon Ball and Zsuzsa Weiner

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Contents: Projective geometries; Arcs and maximum distance separable codes; Polar geometries; Generalised quadrangles and inversive planes. Lecture Notes Collection FreeScience.info ID1500 Obtained from http://www-ma4.upc.es/~simeon/IFG.pdf http://www.freescience.info/go.php?pagename=books&id=1500

Topics: Finite Geometry, "

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geometry

Topics: turing tests cloned shitter pumps, conway games england weller may leadersip connection, geometry,...

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369

Jun 12, 2012
06/12

by
Steven H. Cullinane

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Typewritten notes, 40 pages, 3.5 MB.

Topics: Finite Geometry, Group Theory

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Apr 8, 2021
04/21

by
Alexander Hulpke (hulpke)

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A model of the smallest projective space, PG_3(2) in dimension 3 over the field with 2 elements. This space consists of 2^3+2^2+2^1+2^0=15 points and 35 lines (All edges and circles are to be interpreted as lines). A more thorough description can be found at: http://en.wikipedia.org/wiki/Finite_geometry This structure for example can be used to find a solution for Kirkman's schoolgirl problem: http://en.wikipedia.org/wiki/Kirkman%27s_schoolgirl_problem

Topics: projective_space, combinatorics, mathematics, Math Art, stl, thingiverse, finite_geometry